A farmer wants to formulate a ration for dairy cows using sorghum meal (12% digestible protein) and sunflower oilcake meal (45% digestible protein) to achieve a required digestible protein of 15%. Calculate the ratio for mixing the feeds and the percentage of sunflower oilcake meal in the mixture.

Biology
A farmer wants to formulate a ration for dairy cows using sorghum meal (12% digestible protein) and sunflower oilcake meal (45% digestible protein) to achieve a required digestible protein of 15%. Calculate the ratio for mixing the feeds and the percentage of sunflower oilcake meal in the mixture.

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Answer

18 & \

2.61 Pearson square for required digestible protein of 24%24\%

4242−24=182424−15=915\begin{array}{c|c} &42 \\ 42-24=18 & \\ \hline 24 & \\ \hline & \\ &24-15=9 \\ &15 \end{array}

Sorghum meal cake (low protein feed): 1818 parts
Sunflower oilcake meal (high protein feed): 99 parts

Ratio of Sorghum meal cake : Sunflower oilcake meal =18:9=2:1= 18:9 = 2:1

2.62 Percentage of sunflower oilcake meal in the mixture

Formula:
Percentage of sunflower oilcake meal=(partsofsunfloweroilcakemealtotalparts)×100\text{Percentage of sunflower oilcake meal} = \left( \frac{parts of sunflower oilcake meal}{total parts} \right) \times 100

Substitute values:
Percentage=(918+9)×100=(927)×100\text{Percentage} = \left( \frac{9}{18+9} \right) \times 100 = \left( \frac{9}{27} \right) \times 100

Simplify:
927=13\frac{9}{27} = \frac{1}{3}
13×100=3313%\frac{1}{3} \times 100 = 33\frac{1}{3}\%

Final answer: The ratio is 2:12:1. Sunflower oilcake meal is 3313%\mathbf{33\frac{1}{3}\%} of the mixture.

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2.61 Pearson square for required digestible protein of 24\% c|c &42 \\ 42-24=18 & \\ 24 & \\ & \\ &24-15=9 \\ &15 Sorghum meal cake (low protein feed): 18 parts Sunflower oilcake meal (high protein feed): 9 parts Ratio of Sorghum meal cake : Sunflower…

A farmer wants to formulate a ration for dairy cows using sorghum meal (12% digestible protein) and sunflower oilcake meal (45% digestible protein) to achieve a required digestible protein of 15%. Calculate the ratio for mixing the feeds and the percentage of sunflower oilcake meal in the mixture.
Biology

This biology question covers important biological concepts and processes. The step-by-step explanation below helps you understand the underlying mechanisms and reasoning.

ScanSolve AI Answer
2.61 Pearson square for required digestible protein of 24\% c|c &42 \\ 42-24=18 & \\ 24 & \\ & \\ &24-15=9 \\ &15 Sorghum meal cake (low protein feed): 18 parts Sunflower oilcake meal (high protein feed): 9 parts Ratio of Sorghum meal cake : Sunflower oilcake meal = 18:9 = 2:1 2.62 Percentage of sunflower oilcake meal in the mixture Formula: Percentage of sunflower oilcake meal = ( parts of sunflower oilcake mealtotal parts ) × 100 Substitute values: Percentage = ( (9)/(18+9) ) × 100 = ( (9)/(27) ) × 100 Simplify: (9)/(27) = (1)/(3) (1)/(3) × 100 = 33(1)/(3)\% Final answer: The ratio is 2:1. Sunflower oilcake meal is 33(1)/(3)\% of the mixture.